is 2 4464949 - 1
has 1344084 decimal digits
takes 0.557 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB6E6DE6211A10E9Cdouble-checked
PRP09B483994AAF110FPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271107.073667.6056%750000012441625350123.870512.7817%230.944171.7462%4.1406%
PrimeNet2610.068862.2951%180003600000.00662.9449%0.075463.4055%1.1104%
GPU722651.634064.6154%260005500000.00992.0882%1.643965.3543%0.7389%
Difference+6+105.4396+2.9902%+7474000+12441075350+123.8606+10.6936%+229.3003+6.3919%+3.4017%

Known prime factors (1 factor, 122.9 bits, 0.00275212% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4464949979117718726965044559262990089944163337122.8811096448938976643456128236839984
24 × 3 × 79 × 15061 × 22639 × 55547 × 306703 × 49777193
2022-08-08306703497771933.760e+100.54290.9160

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-22T19:32:00Carsten Kossendeydurandal25000362500---0.008--0.776%
2012-10-16T06:08:00Squeeky_SquirrelT7500_22002900007467500---0.123--3.056%
2021-04-24T18:33:29Architects CubedGCE_122200013874000---0.175--3.302%
2022-08-08T15:40:12xsslocal175000001244162535037122.881123.91.114247.712.782%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers21261--0.069--
2010-10-11T07:28:00markroldgamer261262--0.069--
2012-02-03T03:49:00GrunwalderGIMPManual testing21263--0.357--
2016-02-23T16:38:52Mark RoseManual testing262263--0.220--
2014-09-20T20:24:00JayderManual testing263264--0.440--
2014-09-21T01:58:00monstManual testing264265--0.837--
2015-06-25T05:02:00snme2pm1Manual testing265266--1.674--
2018-06-25T13:24:45ramgeisManual testing266267--3.347--
2018-06-25T13:24:45ramgeisManual testing267268--6.695--
2021-07-18T14:28:51MadPooManual testing268269--13.39--
2021-08-19T16:11:28SRBaseManual testing269270--26.78--
2021-08-22T16:37:40SRBaseManual testing270271--53.56--


ECM factoring results:
Total ECM effort:2.213 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.213


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-27T00:00:00ANONYMOUSv4_computersB6E6DE6211A10E9C0.557
1999-11-24T00:00:00ANONYMOUSv4_computersB6E6DE6211A10E9C0.557


PRP results:
dateuseridcompidcofactorsres64PRP
2022-08-10T07:44:37LordJuliusWhiteBox
9791177187269650445592629900899441633
09B483994AAF110Fno


P-1 factor-bounds graph:
B1 = 7500000, B2 = 12441625350 (P-1 stage 2)
B1 = 7500000 (P-1 stage 1)
B1 = 222000, B2 = 13874000 (P-1 stage 2)
B1 = 290000, B2 = 7467500 (P-1 stage 2)
B1 = 290000 (P-1 stage 1)
B1 = 222000 (P-1 stage 1)
B1 = 25000, B2 = 362500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-08-10T07:44:37+00:00